Whakaoti i te {c}{27+16-24sqrt{3}+9+48-24sqrt{3}}{-2*(9sqrt{3}+16sqrt{3}-12-36)*frac{sqrt{3}}{2}}

$$\left. \begin{array} { c } { 27 + 16 - 24 \sqrt { 3 } + 9 + 48 - 24 \sqrt { 3 } } \\ { - 2 \times ( 9 \sqrt { 3 } + 16 \sqrt { 3 } - 12 - 36 ) \times \frac { \sqrt { 3 } } { 2 } } \end{array} \right.$$

Aromātai

$$25$$

Ngā Upane Otinga

Tāpirihia te 27 ki te 16, ka 43.

$$43-24\sqrt{3}+9+48-24\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Tāpirihia te 43 ki te 9, ka 52.

$$52-24\sqrt{3}+48-24\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Tāpirihia te 52 ki te 48, ka 100.

$$100-24\sqrt{3}-24\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Pahekotia te -24\sqrt{3} me -24\sqrt{3}, ka -48\sqrt{3}.

$$100-48\sqrt{3}-2\left(9\sqrt{3}+16\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Pahekotia te 9\sqrt{3} me 16\sqrt{3}, ka 25\sqrt{3}.

$$100-48\sqrt{3}-2\left(25\sqrt{3}-12-36\right)\times \frac{\sqrt{3}}{2}$$

Tangohia te 36 i te -12, ka -48.

$$100-48\sqrt{3}-2\left(25\sqrt{3}-48\right)\times \frac{\sqrt{3}}{2}$$

Me whakakore te 2 me te 2.

$$100-48\sqrt{3}-\sqrt{3}\left(25\sqrt{3}-48\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{3} ki te 25\sqrt{3}-48.

$$100-48\sqrt{3}-\left(25\left(\sqrt{3}\right)^{2}-48\sqrt{3}\right)$$

Ko te pūrua o \sqrt{3} ko 3.

$$100-48\sqrt{3}-\left(25\times 3-48\sqrt{3}\right)$$

Whakareatia te 25 ki te 3, ka 75.

$$100-48\sqrt{3}-\left(75-48\sqrt{3}\right)$$

Hei kimi i te tauaro o 75-48\sqrt{3}, kimihia te tauaro o ia taurangi.

$$100-48\sqrt{3}-75-\left(-48\sqrt{3}\right)$$

Tangohia te 75 i te 100, ka 25.

$$25-48\sqrt{3}-\left(-48\sqrt{3}\right)$$

Ko te tauaro o -48\sqrt{3} ko 48\sqrt{3}.

$$25-48\sqrt{3}+48\sqrt{3}$$

Pahekotia te -48\sqrt{3} me 48\sqrt{3}, ka 0.

$$25$$

Tauwehe

$$5^{2}$$